Algebraic Renormalization of Parity-Preserving QED_3 Coupled to Scalar Matter I: Unbroken Case

TL;DR

This paper applies the algebraic renormalization method to parity-preserving QED_3 coupled with scalar matter in the symmetric phase, demonstrating its stability and anomaly freedom without relying on regularization schemes.

Contribution

It introduces an algebraic renormalization approach for this model, establishing its stability and anomaly freedom in the unbroken phase.

Findings

Model is stable under radiative corrections

The theory is free of anomalies

Method is independent of regularization schemes

Abstract

In this letter the algebraic renormalization method, which is independent of any kind of regularization scheme, is presented for the parity-preserving QED_3 coupled to scalar matter in the symmetric regime, where the scalar assumes vanishing vacuum expectation value, $<\phi>=0$. The model shows to be stable under radiative corrections and anomaly free.